How to convert 361.53838362309 as a fraction

Question: What is 361.53838362309 as a fraction?


Answer: 361.53838362309 as a fraction is 4700/13


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How to convert 361.53838362309 as a fraction?

Solution:361.53838362309 as a fraction is 4700/13

Step 1:

The first step to converting 361.53838362309 to a fraction is to re-write 361.53838362309 in the form p/q where p and q are both positive integers. To start with, 361.53838362309 can be written as simply 361.53838362309/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 361.53838362309, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 361.53838362309/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 361.53838362309/1 each by 100000000000:

36153838362309/10 / 100000000000/10 = 36153838362309 / 100000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 361.53838362309 as a fraction:

4700/13 / 1

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